Complete The Square!

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about

Complete The Square!

This is a song about how to derive the quadratic formula.

lyrics

a x squared plus b x plus c,
equal to a zero,
must we...
suffer from the automatic?
Celebrate the form quadratic!
b - a parabolic figure over me.
c - the y is intercepted by the c.

See the standard form, ignore the c,
factor the a from a and b.
a parenthesis x squared
plus (b over a) times x
plus a little piece!

The missing piece that comes with love from Greece.
The piece, that's missing from the square you must complete!
You must complete. You must complete. You must complete!

Complete the square!
x squared plus b over a times x – not a square.
Complete the square,
Divide b over a times x – into a pair.
Complete the square,
What’s missing (b over 2a) – quantity squared.
Complete the square,
So add the square inside - outside subtract a square.

Balance is important, outside
there's a scalar factor friction.
Feel the gravity on Saturn,
six point four additional percent!

The cancellation should be evident.
Assay the c minus b squared over four a.

Now factor the perfect square,
trinomial to binomial squared.

x plus b over 2 a is squared and now the vertex form is there.
A times (x minus h) squared plus k where...
the vertex is (h comma k) the vertical stretch is the A.
Solve for quadratic formulæ declare!!!

Complete the square!
x squared plus b over a times x – not a square.
Complete the square,
Divide b over a times x – into a pair.
Complete the square,
What’s missing (b over 2a) – quantity squared.
Complete the square,
So add the square inside - outside subtract a square!

Negative b plus or minus,
the square root of all your shyness.
You'll b squared minus four a c.
It's all over 2 a.

credits

from icanhasmatheatre! The Archive., track released April 4, 2016
Song: Marc Gutman
Vocals: Rosalie Norris
With a huge amount of help from:
Joe McMorrow
Eddie Estrin
Ochen Kaylan

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icanhasmath Minneapolis, Minnesota

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